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                泡泡                </h1>
                <p>时间限制：50s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：512MB</p>			</div>
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                                <h3>题目描述</h3><p><div>&quot;OI真的像是一条奇趣横生的路啊,也许它是绕过了高考的大山,也许确实有通往大学的捷径。但我,真的,真的只在</div>
<div>乎那路上美丽的泡泡。&quot;</div>
<div>--TB</div>
<div></div>
<div>TB喜欢所有自然的事物。比如说松爷的仙人掌，Picks的多项式导论，当然，还有OI路上美丽的泡泡。这些泡泡可</div>
<div>以视作某一平面上的一些圆。由于泡泡的特殊性质，当两个泡泡在这一平面上相切的时候，TB认为这对泡泡是自然</div>
<div>的，然而如果它们相交或者包含的话，泡泡就会破裂而无法继续存在（即不会存在相交或包含的情况）。TB想知道</div>
<div>有多少对泡泡是自然的。</div></p><hr/><h3>输入格式</h3><p><div>输入文件的第一行包含一个正整数n，表示泡泡的个数。</div>
<div>接下来n行，每行三个整数x,y,r，表示一个泡泡的圆心和半径。</div>
<div>对于所有数据，|x|，|y|，r&lt;=10^9, n&lt;=500000</div>
<div>数据保证所有的泡泡都是存在的，既不会出现相交或者包含的关系。</div></p><hr/><h3>输出格式</h3><p><div>一行，表示有多少对自然的泡泡。</div></p><hr/><h3>样例输入</h3><pre>4
0 0 5
8 6 5
-6 8 5
2 14 5
</pre><hr/><h3>样例输出</h3><pre>4</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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